Multivariate moment matching for model order reduction of quadratic-bilinear systems using error bounds
Abstract
We propose an adaptive moment-matching framework for model order reduction of quadratic-bilinear descriptor systems. In this framework, an important issue is the selection of those shift frequencies where moment-matching is to be achieved. Often, the choice is random or linked to the linear part of the nonlinear system. In this paper, we extend the use of an existing a posteriori error bound for general linear time invariant systems to quadratic-bilinear systems and develop a greedy-type framework to select a good choice of interpolation points for the construction of the projection matrices. The results are compared with standard quadratic-bilinear projection methods and we observe that the approximations obtained by the proposed method yield high accuracy.
Keywords
Cite
@article{arxiv.2105.12966,
title = {Multivariate moment matching for model order reduction of quadratic-bilinear systems using error bounds},
author = {Muhammad Altaf Khattak and Mian Ilyas Ahmad and Lihong Feng and Peter Benner},
journal= {arXiv preprint arXiv:2105.12966},
year = {2021}
}